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103296970080 = 2532571734007
BaseRepresentation
bin110000000110011111…
…0101010110101100000
3100212121221110202221200
41200030332222311200
53143023011020310
6115242020321200
710314536521113
oct1401476526540
9325557422850
10103296970080
113a8984a0567
1218029b43200
1399828a0905
144ddcc8c57a
152a488de9c0
hex180cfaad60

103296970080 has 72 divisors (see below), whose sum is σ = 352500915312. Its totient is φ = 27545858304.

The previous prime is 103296970067. The next prime is 103296970097. The reversal of 103296970080 is 80079692301.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35865564 + ... + 35868443.

It is an arithmetic number, because the mean of its divisors is an integer number (4895846046).

Almost surely, 2103296970080 is an apocalyptic number.

103296970080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103296970080 is an abundant number, since it is smaller than the sum of its proper divisors (249203945232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103296970080 is a wasteful number, since it uses less digits than its factorization.

103296970080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71734028 (or 71734017 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 103296970080 in words is "one hundred three billion, two hundred ninety-six million, nine hundred seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 71734007 143468014 215202021 286936028 358670035 430404042 573872056 645606063 717340070 860808084 1076010105 1147744112 1291212126 1434680140 1721616168 2152020210 2295488224 2582424252 2869360280 3228030315 3443232336 4304040420 5164848504 5738720560 6456060630 6886464672 8608080840 10329697008 11477441120 12912121260 17216161680 20659394016 25824242520 34432323360 51648485040 103296970080